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                [Usaco2016 Jan]Angry Cows                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div>Bessie the cow has designed what she thinks will be the next big hit video game: &quot;Angry Cows&quot;. The premise, which she believes is completely original, is that the player shoots a cow with a slingshot into a one-dimensional scene consisting of a set of hay bales located at various points on a number line; the cow lands with sufficient force to detonate the hay bales in close proximity to her landing site, which in turn might set of a chain reaction that causes additional hay bales to explode. The goal is to use a single cow to start a chain reaction that detonates all the hay bales.</div>
<div>There are NN hay bales located at distinct integer positions x1,x2,&hellip;,xNx1,x2,&hellip;,xN on the number line. If a cow is launched with power RR landing at position xx, this will causes a blast of &quot;radius RR&quot;, engulfing all hay bales within the range x&minus;R&hellip;x+Rx&minus;R&hellip;x+R. These hay bales then themselves explode (all simultaneously), each with a blast radius of R&minus;1R&minus;1. Any not-yet-exploded bales caught in these blasts then all explode (all simultaneously) with blast radius R&minus;2R&minus;2, and so on.</div>
<div></div>
<div>Please determine the minimum amount of power RR with which a single cow may be launched so that, if it lands at an appropriate location, it will cause subsequent detonation of every single hay bale in the scene.</div>
<div></div>
<p></p></p><hr/><h3>输入格式</h3><p><div>The first line of input contains NN (2&le;N&le;50,000). The remaining NN lines all contain integers x1&hellip;xN (each in the range 0&hellip;1,000,000,000).</div>
<div></div>
<p></p></p><hr/><h3>输出格式</h3><p><div>Please output the minimum power RR with which a cow must be launched in order to detonate all the hay bales. Answers should be rounded and printed to exactly 1 decimal point.</div>
<div></div>
<p></p></p><hr/><h3>样例输入</h3><pre>5
8
10
3
11
1</pre><hr/><h3>样例输出</h3><pre>3.0
In this example, a cow launched with power 3 at, say, location 5, will cause immediate detonation of hay bales at positions 3 and 8. These then explode (simultaneously) each with blast radius 2, engulfing bales at positions 1 and 10, which next explode (simultaneously) with blast radius 1, engulfing the final bale at position 11, which finally explodes with blast radius 0.</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>Gold</p>
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